The purpose of this work is to offer a clear physical explanation of the Coriolis force. Meterologists and oceanographers have invoked this somewhat mysterious force to explain the apparent equilibrium of a system of wind patterns or ocean currents in the presence of horizontal pressure gradients so that the velocity of fluid lies among isobars. The force is named for Gustave Gaspard Coriolis (1792-1843), a French mathematician who studied its effects. In order to make the mathematical concepts more tangible, the authors have prepared a series of computer exercises, written in BASIC for the IMB-AT with Enhanced Color Display, that can be copied piece by piece. For those who prefer not to make up their own copy of the program, there are instructions on how to order a pre-made copy in the Introduction of this book. These programs will provide an interactive tool for experimenting with a variety of problems involving the idea of Coriolis force. "An Introduction to the Coriolis Force" will be most useful for studying the hydrodynamics of the ocean and atmosphere. It also presents many aspects of classical mechanics/dynamics physics. Its straightforward explanations and unique accessibility should help explain the complexities of this mysterious force, about which many scientists have had lingering uncertainties since it was first described in 1831.